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Finding the Fourth Proportional to 268.87, 403.50 and 122.64

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Solution

The fourth proportional to 268.87, 403.50 and 122.64 is: 184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.87 : 403.50 = 122.64 : x
  2. Step 2: Convert to fraction form
    268.87/403.50 = 122.64/x
  3. Step 3: Cross multiply
    268.87x = 403.50 × 122.64
  4. Step 4: Simplify right side
    268.87x = 49,485.74
  5. Step 5: Solve for x
    x = 49,485.74/268.87
  6. Step 6: Final answer
    x = 184.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.